How do I find the dot product of vec(u)+vec(v) and vec(u)−vec(v) ?

fluerkg 2022-10-21 Answered
How do I find the dot product of u + v and u v with the given information?
I already know that | u | = 2 , | v | = 3 , | and u , v = 1. I am unsure as to how to proceed in order to find u + v , u v
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Answers (2)

Marlene Welch
Answered 2022-10-22 Author has 23 answers
We have that
( u + v ) ( u v ) = u ( u v ) + v ( u v ) = u u u v + v u v v = . . .
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Sariah Mcguire
Answered 2022-10-23 Author has 2 answers
HINT:
( u + v , u v ) = ( u , u ) ( u , v ) + ( v , u ) ( v , v )
You know all of the terms of the RHS of the previous equation.
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